λ
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Atlas › Integer Profiles › Node 19,087,326

19,087,326

2 × 34 × 59 × 1997
Abundant Even Composite

19,087,326 factors as 2 × 3^4 × 59 × 1997. Its 40 positive divisors give a proper-divisor sum of 24,429,114, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 59 × 1997
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 43,516,440
Proper Divisor Sum 24,429,114
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #19087297 ← → #19087331

Radix Representation

Decimal 19087326
Binary 1001000110011111111011110 (25 bits)
Octal 0o110637736
Hexadecimal 0x1233FDE

Divisor Catalog (40)

1 2 3 6 9 18 27 54 59 81 118 162 177 354 531 1,062 1,593 1,997 3,186 3,994 4,779 5,991 9,558 11,982 17,973 35,946 53,919 107,838 117,823 161,757 235,646 323,514 353,469 706,938 1,060,407 2,120,814 3,181,221 6,362,442 9,543,663 19,087,326

Collatz Trajectory (195 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

19,087,326 9,543,663 28,630,990 14,315,495 42,946,486 21,473,243 64,419,730 32,209,865 96,629,596 48,314,798 24,157,399 72,472,198 36,236,099 108,708,298 54,354,149 163,062,448 81,531,224 40,765,612 20,382,806 10,191,403 30,574,210 15,287,105 45,861,316 22,930,658 11,465,329 34,395,988 17,197,994 8,598,997 25,796,992 12,898,496 6,449,248 3,224,624 1,612,312 806,156 403,078 201,539 604,618 302,309 906,928 453,464 226,732 113,366 56,683 170,050 85,025 255,076 127,538 63,769 191,308 95,654 47,827 143,482 71,741 215,224 107,612 53,806 26,903 80,710 40,355 121,066

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